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Finding the Fourth Proportional to 105,049.69, 144,968.05 and 57,302.62

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Solution

The fourth proportional to 105,049.69, 144,968.05 and 57,302.62 is: 79,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.69 : 144,968.05 = 57,302.62 : x
  2. Step 2: Convert to fraction form
    105,049.69/144,968.05 = 57,302.62/x
  3. Step 3: Cross multiply
    105,049.69x = 144,968.05 × 57,302.62
  4. Step 4: Simplify right side
    105,049.69x = 8,307,049,081.29
  5. Step 5: Solve for x
    x = 8,307,049,081.29/105,049.69
  6. Step 6: Final answer
    x = 79,077.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.